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Diffusion in inhomogeneous media with periodic microstructures
ZAMM - Journal of Applied Mathematics and Mechanics ( IF 2.3 ) Pub Date : 2021-07-15 , DOI: 10.1002/zamm.202000070
Micol Amar 1 , Daniele Andreucci 1 , Emilio N.M. Cirillo 1
Affiliation  

Diffusion in inhomogeneous materials can be described by both the Fick and Fokker–Planck diffusion equations. Here, we study a mixed Fick and Fokker–Planck diffusion problem with coefficients rapidly oscillating both in space and time. We obtain macroscopic models performing the homogenization limit by means of the unfolding technique.

中文翻译:

在具有周期性微观结构的非均匀介质中的扩散

非均质材料中的扩散可以通过 Fick 和 Fokker-Planck 扩散方程来描述。在这里,我们研究了一个混合 Fick 和 Fokker-Planck 扩散问题,其中系数在空间和时间上都快速振荡。我们通过展开技术获得了执行同质化极限的宏观模型。
更新日期:2021-07-15
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